From the observations of Ptolemy and Kepler to the Harmony of the Spheres and the hidden structure of the solar system, John Martineau reveals the exquisite orbital patterns of the planets and the mathematical relationships that govern them. A table shows the relative measurements of each planet in eighteen categories, and three pages show the beautiful dance patterns of thirty six pairs of planets and moons.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    We all dance to these primary rhythms. This book reveals the poetic cosmology that lies within the cycles of the Sun and Moon as seen from the Earth.

    With his own research as well as that of some of the most distinguished scientists of our time, Schäfer moves us from a reality of Darwinian competition to cooperation, a meaningless universe to a meaningful one, and a disconnected, isolated existence to an interconnected one. In so doing, he shows us that our potential is infinite and calls us to live in accordance with the order of the universe, creating a society based on the cosmic principle of connection, emphasizing cooperation and community.

    To understand the universe in the far future, we must first describe its present state and structure on the grand scale, and how its present properties arose. Dr Islam explains these topics in an accessible way in the first part of the book. From this background he speculates about the future evolution of the universe and predicts the major changes that will occur. The author has largely avoided mathematical formalism and therefore the book is well suited to general readers with a modest background knowledge of physics and astronomy.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

     Carl Sagan is considered one of the greatest scientific minds of our time. His remarkable ability to explain science in terms easily understandable to the layman in bestselling books such as Cosmos, The Dragons of Eden, and The Demon-Haunted World won him a Pulitzer Prize and placed him firmly next to Isaac Asimov, Stephen Jay Gould, and Oliver Sachs as one of the most important and enduring communicators of science. In December 2006 it will be the tenth anniversary of Sagan's death, and Ann Druyan, his widow and longtime collaborator, will mark the occasion by releasing Sagan's famous "Gifford Lectures in Natural Theology," The Varieties of Scientific Experience: A Personal View of the Search for God. The chance to give the Gifford Lectures is an honor reserved for the most distinguished scientists and philosophers of our civilization. In 1985, on the grand occasion of the centennial of the lectureship, Carl Sagan was invited to give them. He took the opportunity to set down in detail his thoughts on the relationship between religion and science as well as to describe his own personal search to understand the nature of the sacred in the vastness of the cosmos. The Varieties of Scientific Experience, edited, updated and with an introduction by Ann Druyan, is a bit like eavesdropping on a delightfully intimate conversation with the late great astronomer and astrophysicist. In his charmingly down-to-earth voice, Sagan easily discusses his views on topics ranging from manic depression and the possibly chemical nature of transcendance to creationism and so-called intelligent design to the likelihood of intelligent life on other planets to the likelihood of nuclear annihilation of our own to a new concept of science as "informed worship." Exhibiting a breadth of intellect nothing short of astounding, he illuminates his explanations with examples from cosmology, physics, philosophy, literature, psychology, cultural anthropology, mythology, theology, and more. Sagan's humorous, wise, and at times stunningly prophetic observations on some of the greatest mysteries of the cosmos have the invigorating effect of stimulating the intellect, exciting the imagination, and reawakening us to the grandeur of life in the cosmos.

    What is a tree? Why are they so important to life on Earth? How do they eat, breathe, grow, communicate, and regenerate themselves? How many different kinds of trees are there, and where do they live? In this beautiful little book, illustrated with rare old engravings and specially commissioned drawings, internationally renowned Finnish tree expert Professor Olavi Huikari takes us on an unforgettable journey deep into the secrets of these most majestic of Earth's life forms.

    These in turn are corresponded to language as musical metaphor. This, in combination with novel graphics and symbols, carries the reader to a basic understanding of melodic, harmonic, and rhythmic principles, as well as Western musical notation. A great primer on music theory for the novice or professional, as well as an invaluable resource for composers and students, it includes the following:- A rich unfolding of metaphors and illustrations to elucidate a notoriously impenetrable and abstract subject.- The properties of the overtone series and how it influences harmonic and melodic thought.- A discussion of epigrams and dialectics exploring how meaning is carried through time.- Rhythm and meter as the marking of time and the organization of it into self-similar structures.- From the circle of fifths to intervals, triads, and later seventh chords and extensions.- How major/minor key tonality and modulation occur, and how they differ from music based upon drones or other types of scales.- How form and structure reflect the relationship of humans to time and emotional states.- A wealth of scales, rhythmic patterns, and notation references in the appendices.

    The world you live in is stranger than fiction... as you read this, you exist in other places at the same time. Do not regret having missed the chance to realize your dreams, for you may just have fulfilled it in another universe.. * Are the trillions of atoms that make you, nothing but vibrations in 10 dimensions?* Is it true that we are all connected with each other?* Can you go into the future to change the present?* Why do scientists and philosophers struggle with the concept of Time?* Can science explain consciousness through physics?* Is our fate driven by the underlying randomness in nature?* Is nature hiding the best-kept secrets which can never be unravelled by humans?The Speed of Time approaches the most complex and esoteric theories of science in lucid, clear and simple language and in the style of a thriller, leaving you wanting more... while addressing questions through the enigmatic theories in Physics such as Quantum Mechanics, Einstein's Theory of Relativity, Time, Chaos, and much more. Just start reading and you will not put it down.

    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

    Why are dragons recognised in almost all cultures on Earth? What is the mysterious geomantic gold they secretly guard? The author tells the story of these extraordinary animals through examples drawn from all over the world.